Representations of the solvable group acting on a homogeneous Siegel domain

DOI10.3792/pjaa.75.118zbMath0953.22008OpenAlexW2074574306MaRDI QIDQ1969181

Hideyuki Ishi

Publication date: 30 January 2001

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.75.118

zbMATH Keywords

unitary representationssolvable groupshomogeneous Siegel domainsaffine transformation groups

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)

Cites Work

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• Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semisimple Lie group
• Positive Riesz distributions on homogeneous cones
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• On a Hilbert space of analytic functions and an associated integral transform part I
• On the irreducibility of certain multiplier representations
• The Analytic Continuation of the Discrete Series. II

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